Finding the Third Proportional to 10,048.50 and 17,727.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,048.50 : 17,727.75 = 17,727.75 : x
2. Step 2: Convert to fraction form
   10,048.50/17,727.75 = 17,727.75/x
3. Step 3: Cross multiply
   10,048.50x = 17,727.75 × 17,727.75
4. Step 4: Simplify right side
   10,048.50x = 314,273,120.06
5. Step 5: Solve for x
   x = 314,273,120.06/10,048.50
6. Step 6: Final answer
   x = 31,275.63